Now we turn to the transformation of partition functions under Weyl transformation. We first revisit the case for usual 2d CFTs, where the Liouville action arises as a response of Weyl variations to matter conformal theories. We then go on to considering 2d BMSFTs, where we will end up with a Carrollian version of Liouville theory, which is interestingly distinct from the BMS-Liouville theories that have been studied in the literature [1]}, [2]}.
